How do you solve # x^2-10x=-11# by completing the square?

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Answer 1 · 2017-11-14T00:38:29

#x^2 - 10x = -11#

Add 11 to both sides

#x^2 - 10x + 11 = 0#

Divide -10 by 2 to see the plus number or minus number after the x (you'll see)

You get -5

What is -5 squared?

25

Add 14 to both sides of the equation to get 25

#x^2 - 10x + 25 = 14#

You get

#(x-5)^2 = 14#

Root both sides

x-5 = Root 14, and x-5 = Negative Root 14

Add 5 to both equations to get both solutions

1.26, 8.74 (approximate answers)